Finite Group Databasebeta

← #6345195

Subgroups — #6345195

Order 512.

1810 conjugacy classes of subgroups.

The subgroup lattice has 775 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#60951C211yesmaximal, characteristic
2#60204C211yesmaximal, characteristic, complemented
3C2×#2931C211yesmaximal, characteristic, complemented
4#17983C214yesmaximal, complemented
5#17964C214yesmaximal, complemented
6#17940C214yesmaximal, complemented
7#17935C212yesmaximal, complemented
8#17933C212yesmaximal, complemented
9#17912C214yesmaximal, complemented
10#17902C212yesmaximal, complemented
11#17900C212yesmaximal, complemented
12#17820C211yesmaximal, characteristic, complemented
13#17498C211yesmaximal, characteristic, complemented
14#17490C211yesmaximal, characteristic, complemented
15#17323C211yesmaximal, characteristic, complemented
16C22×#131—21no—
17#3444C2211yescharacteristic
18C2×#532C2211yescharacteristic
19#3254C412yes—
20#3253C412yes—
21#3238C412yes—
22#3235C412yes—
23#3217C412yes—
24#3214C412yes—
25#3194C414yes—
26#3171C2214yes—
27#3106C2214yes—
28#3101C2212yes—
29#3100C2212yes—
30#2966—21no—
31#2966—21no—
32#2966C2212yescomplemented
33#2966C2212yescomplemented
34#2965—21no—
35#2965C2212yescomplemented
36C8×#41—21no—
37C8×#41C2212yescomplemented
38#2960C2211yescharacteristic
39#2960C2211yescharacteristic
40#2931—21no—
41#2931—21no—
42#2931—21no—
43#2931—21no—
44#2931C2211yescharacteristic
45#2931C2212yes—
46#2931C2212yes—
47#2931C2211yescharacteristic
48#2931C2212yes—
49#2931C2212yes—
50#2929—21no—
51#2929—21no—
52C2×#436—21no—
53C2×#436C2212yes—
54C2×C8×D4—21no—
55C2×C8×D4C2212yes—
56#2922—21no—
57#2920C2211yescharacteristic
58#2920C2211yescharacteristic
59#2920C2211yescharacteristic
60C2×#423C2211yescharacteristic
61C2×#408—21no—
62C4×#131—21no—
63C22×C4×C8C2211yescharacteristic
64#1594C2218yescomplemented
65#1592C2218yescomplemented
66#1588C2218yescomplemented
67#1586C2218yescomplemented
68#1582C2218yescomplemented
69#1581C2218yescomplemented
70C8×SD16C2218yescomplemented
71C8×D8C2218yescomplemented
72#1574C2214yescomplemented
73#1571C2212yes—
74#1570C2212yes—
75#1569C2214yescomplemented
76#1496C2214yes—
77#1495C2214yescomplemented
78#1489C2214yescomplemented
79#1486C2212yes—
80#1486C2212yes—
81#1484C2214yes—
82#1481C2212yes—
83#1480C2212yes—
84#1452C2212yes—
85#1451C2212yescomplemented
86#1451C2212yescomplemented
87#1450C2212yes—
88C8×M16C2212yescomplemented
89C8×M16C2212yescomplemented
90C22×#41—21no—
91C2×#131—21no—
92C2×#131—21no—
93C2×#131—22no—
94C2×#131—22no—
95C2×#131—22no—
96C2×#131—22no—
97C2×#131—48no—
98C22×M16—21no—
99C22×M16—22no—
100C23×C8—22no—
101C23×C8D411yescharacteristic
102C23×C8D411yescharacteristic
103#533C2×C411yescharacteristic
104#533C2×C411yescharacteristic
105#533C2311yescharacteristic
106#532—21no—
107#532—21no—
108#532—21no—
109#532—21no—
110#532C2×C411yescharacteristic
111#532C2×C412yes—
112#532C2×C412yes—
113#532C2×C411yescharacteristic
114#532C2311yescharacteristic
115#532C2312yes—
116#532C2312yes—
117C2×C4⋊Q8C2×C411yescharacteristic
118C2×#127C2×C411yescharacteristic
119#529—21no—
120#529—21no—
121#529—21no—
122#529—21no—
123#529C2×C412yes—
124#529C2312yes—
125C2×#124—21no—
126#525—21no—
127#525—21no—
128#525C2×C412yes—
129C2×#121—21no—
130C2×#121C2×C412yes—
131C4×#41—21no—
132C4×#41—21no—
133C4×#41C2312yes—
134C2×C4×D4—21no—
135C2×C4×D4C2312yes—
136C22×C42C2311yescharacteristic
137#501C2×C414yes—
138#496C2×C414yes—
139#490C2×C414yes—
140#489C2×C414yes—
141#483C2×C414yes—
142#482C2×C418yes—
143#480C2×C414yes—
144#477C2×C414yes—
145#476C2×C414yes—
146#476C2×C414yes—
147#474C2×C414yes—
148#469C2×C418yes—
149#468C2×C418yes—
150#461C2×C414yes—
151#460C2×C414yes—
152#459C2×C414yes—
153#459C2×C414yes—
154#450C2×C414yes—
155#449C2×C418yes—
156#447C2×C414yes—
157#446—21no—
158#446—21no—
159#446C2312yes—
160#446C2312yes—
161C8×Q8—21no—
162C8×Q8—21no—
163C8×Q8C2312yes—
164C8×Q8C2312yes—
165C4×SD16C2318yes—
166C4×D8C2318yes—
167#436—22no—
168#436—22no—
169#436—22no—
170#436—22no—
171#436—22no—
172#436—22no—
173#436—21no—
174#436—21no—
175#436C2312yes—
176#436C2314yes—
177#436C2314yes—
178#436C2312yes—
179#435—22no—
180#435—22no—
181#435—22no—
182#435—22no—
183C8×D4—22no—
184C8×D4—22no—
185C8×D4—22no—
186C8×D4—22no—
187C8×D4—22no—
188C8×D4—22no—
189C8×D4—22no—
190C8×D4—22no—
191C8×D4—22no—
192C8×D4—22no—
193C8×D4—21no—
194C8×D4—21no—
195C8×D4C2312yes—
196C8×D4C2314yes—
197C8×D4C2314yes—
198C8×D4C2312yes—
199#433—22no—
200#433—22no—
201#432—21no—
202#432—21no—
203#432—21no—
204#432C2×C412yes—
205#432C2×C412yes—
206#432C2312yes—
207#431—21no—
208#431—22no—
209#431—22no—
210#431C2312yes—
211#431C2312yes—
212#431C2312yes—
213#431C2312yes—
214#431C2312yes—
215#424—21no—
216#424—21no—
217#423—21no—
218#423—21no—
219#423—21no—
220#423C2×C412yes—
221#423C2312yes—
222#423C2311yescharacteristic
223#423C2311yescharacteristic
224#423C2312yes—
225C2×C4⋊C8—21no—
226C2×C4⋊C8C2312yes—
227#408—22no—
228#408—22no—
229#408—22no—
230#408—22no—
231#408—21no—
232#408—21no—
233#407—21no—
234#407—21no—
235#407C2×C412yes—
236C2×C22⋊C8—22no—
237C2×C22⋊C8—22no—
238#405—21no—
239#405—21no—
240#405—22no—
241#405—22no—
242C4×M16—21no—
243C4×M16—22no—
244C4×M16C2312yes—
245C4×M16C2312yes—
246C2×C4×C8—22no—
247C2×C4×C8D411yescharacteristic
248C2×C4×C8D411yescharacteristic
249C2×C4×C8D411yescharacteristic
250C2×C4×C8D411yescharacteristic
251C2×C4×C8D411yescharacteristic
252C2×C4×C8D411yescharacteristic
253C2×C4×C8C2311yescharacteristic
254C2×C4×C8C2311yescharacteristic
255C2×C4×C8C2311yescharacteristic
256C2×C4×C8C2311yescharacteristic
257C2×C4×C8C2311yescharacteristic
258C2×C4×C8C2311yescharacteristic
259#335C2318yes—
260#334C2318yes—
261Q8⋊C8C2318yes—
262D4⋊C8C2318yes—
263D4⋊C8C2318yes—
264D4⋊C8C2318yes—
265#322C2314yes—
266#322C2314yes—
267#322C2314yes—
268C82C2314yes—
269C2×#41—21no—
270C2×#41—22no—
271C2×#41—22no—
272C2×#41—21no—
273C2×#41—22no—
274C2×#41—22no—
275C2×#41—44no—
276C2×#41—44no—
277C2×#41C22×C412yes—
278C22×Q8—21no—
279C22×D4—22no—
280C22×D4—21no—
281C22×D4—21no—
282C22×D4C22×C412yes—
283C23×C4—22no—
284C23×C4C22×C411yescharacteristic
285C23×C4C2×D411yescharacteristic
286C23×C4#4111yescharacteristic
287C2×SD16C22×C418yes—
288C2×D8C22×C418yes—
289#131—44no—
290#131—48no—
291#131—48no—
292#131—48no—
293#131—48no—
294#131—44no—
295C2×M16—22no—
296C2×M16—22no—
297C2×M16—21no—
298C2×M16—21no—
299C2×M16—22no—
300C2×M16—24no—
301C2×M16—24no—
302C2×M16—22no—
303C2×M16—22no—
304C2×M16—48no—
305C2×M16—44no—
306C2×M16C22×C414yes—
307C22×C8—24no—
308C22×C8—22no—
309C22×C8—24no—
310C22×C8—22no—
311C22×C8—24no—
312C22×C8—22no—
313C22×C8—42no—
314C22×C8—48no—
315C22×C8C2×D411yescharacteristic
316C22×C8C2×D411yescharacteristic
317C22×C8C2×D411yescharacteristic
318C22×C8C2×D411yescharacteristic
319C22×C8C2×D411yescharacteristic
320C22×C8C2×D411yescharacteristic
321C22×C8C2×D411yescharacteristic
322C22×C8C2×D411yescharacteristic
323C22×C8C2×D411yescharacteristic
324C22×C8C2×D411yescharacteristic
325C22×C8C2×D411yescharacteristic
326C22×C8C2×D411yescharacteristic
327C4⋊Q8—21no—
328C4⋊Q8—21no—
329C4⋊Q8C22×C411yescharacteristic
330C4⋊Q8C22×C412yes—
331C4⋊Q8C22×C412yes—
332C4⋊Q8C22×C411yescharacteristic
333C4⋊Q8C22×C411yescharacteristic
334#127—21no—
335#127—21no—
336#127C22×C412yes—
337#127C22×C412yes—
338#127C22×C411yescharacteristic
339#126—22no—
340#126—22no—
341#125—21no—
342#125—21no—
343#125C22×C412yes—
344#124—22no—
345#124—22no—
346#124—21no—
347#124—22no—
348#124—22no—
349#124—21no—
350#124C22×C412yes—
351#123—22no—
352#123—22no—
353#123—22no—
354C22⋊Q8—21no—
355C22⋊Q8—21no—
356C22⋊Q8—21no—
357C22⋊Q8—21no—
358C22⋊Q8C22×C412yes—
359C22⋊Q8C22×C412yes—
360#121—22no—
361#121—22no—
362#121—22no—
363#121—22no—
364#121—21no—
365#121—21no—
366#121—21no—
367#121—22no—
368#121—22no—
369#121—21no—
370#121C22×C414yes—
371#121C22×C414yes—
372#121C22×C412yes—
373#121C22×C412yes—
374#120—22no—
375C4×Q8—21no—
376C4×Q8—21no—
377C4×Q8—21no—
378C4×Q8—21no—
379C4×Q8C22×C412yes—
380C4×Q8C2412yes—
381C4×D4—22no—
382C4×D4—22no—
383C4×D4—22no—
384C4×D4—22no—
385C4×D4—22no—
386C4×D4—22no—
387C4×D4—22no—
388C4×D4—22no—
389C4×D4—21no—
390C4×D4—21no—
391C4×D4—21no—
392C4×D4—22no—
393C4×D4—22no—
394C4×D4—22no—
395C4×D4—21no—
396C4×D4—22no—
397C4×D4C22×C414yes—
398C4×D4C22×C412yes—
399C4×D4C2414yes—
400C4×D4C2412yes—
401#117—21no—
402#117—21no—
403#117—22no—
404#117—22no—
405#117—22no—
406#117C22×C412yes—
407C2×C4⋊C4—21no—
408C2×C4⋊C4C22×C412yes—
409C2×C22⋊C4—22no—
410C2×C22⋊C4—22no—
411C2×C42—22no—
412C2×C42C22×C411yescharacteristic
413C2×C42C22×C411yescharacteristic
414C2×C42C22×C411yescharacteristic
415C2×C42C2×D411yescharacteristic
416C2×C42C2×D411yescharacteristic
417C2×C42C2×D411yescharacteristic
418C2×C42#4111yescharacteristic
419C2×C42#4111yescharacteristic
420C2×C42#4111yescharacteristic
421C2×C42C2411yescharacteristic
422C2×C42C2411yescharacteristic
423C2×C42C2411yescharacteristic
424#107C22×C418yes—
425#106C22×C418yes—
426C4⋊C8—22no—
427C4⋊C8—22no—
428C4⋊C8—22no—
429C4⋊C8—22no—
430C4⋊C8—22no—
431C4⋊C8—22no—
432C4⋊C8—22no—
433C4⋊C8—21no—
434C4⋊C8—21no—
435C4⋊C8—22no—
436C4⋊C8—22no—
437C4⋊C8C22×C414yes—
438C4⋊C8C22×C414yes—
439C4⋊C8C2412yes—
440C4⋊C8C2412yes—
441C4⋊C8C2414yes—
442#103C22×C418yes—
443#102C22×C418yes—
444#102C22×C418yes—
445#102C22×C418yes—
446C22⋊C8—22no—
447C22⋊C8—22no—
448C22⋊C8—22no—
449C22⋊C8—22no—
450C22⋊C8—24no—
451C22⋊C8—24no—
452C22⋊C8—24no—
453C22⋊C8—24no—
454C22⋊C8—22no—
455C22⋊C8—22no—
456C22⋊C8—22no—
457C22⋊C8—22no—
458C22⋊C8C22×C414yes—
459C22⋊C8C22×C414yes—
460#97—22no—
461#97—22no—
462#97—22no—
463#97—22no—
464#97C22×C414yes—
465C4×C8—22no—
466C4×C8—22no—
467C4×C8—22no—
468C4×C8C2×D411yescharacteristic
469C4×C8C2×D411yescharacteristic
470C4×C8C2×D411yescharacteristic
471C4×C8C2×D411yescharacteristic
472C4×C8C2×D411yescharacteristic
473C4×C8C2×D411yescharacteristic
474C4×C8C2×D411yescharacteristic
475C4×C8C2×D411yescharacteristic
476C4×C8C2×D411yescharacteristic
477C4×C8C2×D411yescharacteristic
478C4×C8C2×D411yescharacteristic
479C4×C8C2×D411yescharacteristic
480C4×C8C2414yes—
481C4×C8C2414yes—
482C4×C8C2411yescharacteristic
483C4×C8C2411yescharacteristic
484C4×C8C2411yescharacteristic
485C4×C8C2411yescharacteristic
486C24—22no—
487C24C4×D411yescharacteristic
488#41—44no—
489#41—44no—
490#41—44no—
491#41—44no—
492#41—48no—
493#41—48no—
494#41—44no—
495#41—44no—
496#41—42no—
497#41—42no—
498C2×Q8—21no—
499C2×Q8—21no—
500C2×Q8—22no—
501C2×Q8—22no—
502C2×Q8—44no—
503C2×Q8C23×C412yes—
504C2×D4—22no—
505C2×D4—22no—
506C2×D4—22no—
507C2×D4—24no—
508C2×D4—24no—
509C2×D4—21no—
510C2×D4—21no—
511C2×D4—22no—
512C2×D4—22no—
513C2×D4—22no—
514C2×D4—22no—
515C2×D4—22no—
516C2×D4—44no—
517C2×D4—44no—
518C2×D4—44no—
519C2×D4—48no—
520C2×D4C23×C412yes—
521C2×D4C23×C414yes—
522C22×C4—22no—
523C22×C4—22no—
524C22×C4—22no—
525C22×C4—22no—
526C22×C4—22no—
527C22×C4—24no—
528C22×C4—22no—
529C22×C4—24no—
530C22×C4—42no—
531C22×C4—42no—
532C22×C4—44no—
533C22×C4—44no—
534C22×C4C4×D411yescharacteristic
535C22×C4C4×D411yescharacteristic
536C22×C4C4×D411yescharacteristic
537C22×C4C4×D411yescharacteristic
538C22×C4C4×D411yescharacteristic
539C22×C4C4×D411yescharacteristic
540C22×C4C4×D411yescharacteristic
541C22×C4C4×D411yescharacteristic
542C22×C4C4×D411yescharacteristic
543C22×C4C23×C411yescharacteristic
544C22×C4C23×C411yescharacteristic
545C22×C4C23×C411yescharacteristic
546C22×C4C22×D411yescharacteristic
547C22×C4C22×D411yescharacteristic
548C22×C4C22×D411yescharacteristic
549C22×C4C2×#4111yescharacteristic
550C22×C4C2×#4111yescharacteristic
551C22×C4C2×#4111yescharacteristic
552SD16—48no—
553D8—48no—
554M16—44no—
555M16—48no—
556M16—48no—
557M16—44no—
558M16—44no—
559M16—44no—
560M16—44no—
561M16—42no—
562M16—42no—
563M16—44no—
564C2×C8—22no—
565C2×C8—22no—
566C2×C8—22no—
567C2×C8—22no—
568C2×C8—22no—
569C2×C8—22no—
570C2×C8—22no—
571C2×C8—22no—
572C2×C8—22no—
573C2×C8—24no—
574C2×C8—24no—
575C2×C8—41no—
576C2×C8—41no—
577C2×C8—41no—
578C2×C8—41no—
579C2×C8—44no—
580C2×C8—44no—
581C2×C8—48no—
582C2×C8—48no—
583C2×C8—44no—
584C2×C8AGL(1,ℤ/8)14yes—
585C2×C8C23×C418yes—
586C2×C8C22×D411yescharacteristic
587C2×C8C22×D411yescharacteristic
588C2×C8C22×D411yescharacteristic
589C2×C8C22×D411yescharacteristic
590C2×C8C22×D411yescharacteristic
591C2×C8C22×D411yescharacteristic
592C2×C8C22×D411yescharacteristic
593C2×C8C22×D411yescharacteristic
594C4⋊C4—22no—
595C4⋊C4—22no—
596C4⋊C4—22no—
597C4⋊C4—21no—
598C4⋊C4—21no—
599C4⋊C4—21no—
600C4⋊C4—21no—
601C4⋊C4—22no—
602C4⋊C4—22no—
603C4⋊C4—22no—
604C4⋊C4—22no—
605C4⋊C4—22no—
606C4⋊C4—22no—
607C4⋊C4C23×C412yes—
608C4⋊C4C23×C412yes—
609C4⋊C4C23×C414yes—
610C22⋊C4—22no—
611C22⋊C4—22no—
612C22⋊C4—22no—
613C22⋊C4—24no—
614C22⋊C4—24no—
615C22⋊C4—24no—
616C22⋊C4—22no—
617C22⋊C4—22no—
618C22⋊C4—22no—
619C22⋊C4—22no—
620C22⋊C4—22no—
621C22⋊C4—24no—
622C22⋊C4—22no—
623C42—22no—
624C42—22no—
625C42—22no—
626C42C4×D411yescharacteristic
627C42C4×D411yescharacteristic
628C42C4×D411yescharacteristic
629C42C4×D411yescharacteristic
630C42C4×D411yescharacteristic
631C42C4×D411yescharacteristic
632C42C23×C411yescharacteristic
633C42C23×C411yescharacteristic
634C42C23×C411yescharacteristic
635C42C22×D411yescharacteristic
636C42C22×D411yescharacteristic
637C42C22×D411yescharacteristic
638C42C2×#4111yescharacteristic
639C42C2×#4111yescharacteristic
640C42C2×#4111yescharacteristic
641C42C2511yescharacteristic
642C23—22no—
643C23—22no—
644C23—24no—
645C23—41no—
646C23—41no—
647C23—44no—
648C23—44no—
649C23—44no—
650C23C2×C4×D411yescharacteristic
651C23C2×C4×D411yescharacteristic
652C23C2×C4×D411yescharacteristic
653Q8—24no—
654Q8—44no—
655Q8—44no—
656Q8—42no—
657Q8—42no—
658D4—24no—
659D4—24no—
660D4—24no—
661D4—44no—
662D4—44no—
663D4—44no—
664D4—44no—
665D4—42no—
666D4—48no—
667D4—48no—
668D4—44no—
669D4—44no—
670D4—44no—
671D4—42no—
672D4—44no—
673C2×C4—22no—
674C2×C4—22no—
675C2×C4—22no—
676C2×C4—22no—
677C2×C4—22no—
678C2×C4—22no—
679C2×C4—22no—
680C2×C4—22no—
681C2×C4—22no—
682C2×C4—21no—
683C2×C4—21no—
684C2×C4—21no—
685C2×C4—21no—
686C2×C4—22no—
687C2×C4—22no—
688C2×C4—22no—
689C2×C4—24no—
690C2×C4—41no—
691C2×C4—41no—
692C2×C4—41no—
693C2×C4—41no—
694C2×C4—41no—
695C2×C4—41no—
696C2×C4—44no—
697C2×C4—44no—
698C2×C4—48no—
699C2×C4—44no—
700C2×C4—44no—
701C2×C4—42no—
702C2×C4—42no—
703C2×C4—44no—
704C2×C4C2×C4×D411yescharacteristic
705C2×C4C2×C4×D411yescharacteristic
706C2×C4C2×C4×D411yescharacteristic
707C2×C4C2×C4×D411yescharacteristic
708C2×C4C2×C4×D411yescharacteristic
709C2×C4C2×C4×D411yescharacteristic
710C2×C4C2×C4×D411yescharacteristic
711C2×C4C2×C4×D411yescharacteristic
712C2×C4C2×C4×D411yescharacteristic
713C2×C4C2×AGL(1,ℤ/8)12yes—
714C2×C4#57512yes—
715C2×C4C24×C411yescharacteristic
716C2×C4C23×D411yescharacteristic
717C2×C4C22×#4111yescharacteristic
718C8—28no—
719C8—21no—
720C8—21no—
721C8—21no—
722C8—21no—
723C8—21no—
724C8—21no—
725C8—44no—
726C8—44no—
727C8—42no—
728C8—42no—
729C8C2×AGL(1,ℤ/8)12yes—
730C8C2×AGL(1,ℤ/8)12yes—
731C22—21no—
732C22—21no—
733C22—21no—
734C22—21no—
735C22—21no—
736C22—21no—
737C22—21no—
738C22—21no—
739C22—44no—
740C22—42no—
741C22—44no—
742C22—42no—
743C22—44no—
744C22—44no—
745C22—42no—
746C22—88no—
747C22C4×AGL(1,ℤ/8)12yes—
748C22C22×C4×D411yescharacteristic
749C4—21no—
750C4—21no—
751C4—21no—
752C4—21no—
753C4—21no—
754C4—21no—
755C4—21no—
756C4—21no—
757C4—42no—
758C4—42no—
759C4—44no—
760C4—42no—
761C4C4×AGL(1,ℤ/8)12yes—
762C4#295512yes—
763C4#357312yes—
764C4C22×AGL(1,ℤ/8)11yescharacteristic
765C4C2×#57511yescharacteristic
766C2—22no—
767C2—41no—
768C2—41no—
769C2—82no—
770C2—84no—
771C2#6014011yescharacteristic
772C2C2×C4×AGL(1,ℤ/8)11yescharacteristic
773C2C2×#295511yescharacteristic
subgroupG/H
centerC2×C8C22×D4
commutatorC2×C4C24×C4
Frattini, cosocleC42C25
socleC22C22×C4×D4
prime radical#60951C2
LCSG ▷ C2×C4 ▷ C2 ▷ C1
UCSC1 ◁ C2×C8 ◁ C22×C4×C8 ◁ G
LECSG ▷ C42 ▷ C22 ▷ C1

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
2. #60204C2semidirect
3. C2×#2931C2semidirect
4. #17983C2semidirect
5. #17964C2semidirect
6. #17940C2semidirect
7. #17935C2semidirect
8. #17933C2semidirect
9. #17912C2semidirect
10. #17902C2semidirect
11. #17900C2semidirect
12. #17820C2semidirect
13. #17498C2semidirect
14. #17490C2semidirect
15. #17323C2semidirect
32. #2966C22semidirect
33. #2966C22semidirect
35. #2965C22semidirect
37. C8×#41C22semidirect
64. #1594C22semidirect
65. #1592C22semidirect
66. #1588C22semidirect
67. #1586C22semidirect
68. #1582C22semidirect
69. #1581C22semidirect
70. C8×SD16C22semidirect
71. C8×D8C22semidirect
72. #1574C22semidirect
75. #1569C22semidirect
77. #1495C22semidirect
78. #1489C22semidirect
85. #1451C22semidirect
86. #1451C22semidirect
88. C8×M16C22semidirect
89. C8×M16C22semidirect

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroupindex
#609512
#602042
C2×#29312
#179832
#179642
#179402
#179352
#179332
#179122
#179022
#179002
#178202
#174982
#174902
#173232